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Finding the Fourth Proportional to 382,798.92, 528,240 and 221,642.52

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Solution

The fourth proportional to 382,798.92, 528,240 and 221,642.52 is: 305,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,798.92 : 528,240 = 221,642.52 : x
  2. Step 2: Convert to fraction form
    382,798.92/528,240 = 221,642.52/x
  3. Step 3: Cross multiply
    382,798.92x = 528,240 × 221,642.52
  4. Step 4: Simplify right side
    382,798.92x = 117,080,444,764.80
  5. Step 5: Solve for x
    x = 117,080,444,764.80/382,798.92
  6. Step 6: Final answer
    x = 305,853.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.